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      <comment>Export Date: 4 August 2021            
            CODEN: IJUSF            
            Funding details: Magyar Tudományos Akadémia, MTA            
            Funding text 1: This research was supported by the János Bolyai Research Fellowship program of the Hungarian Academy of Sciences.</comment>
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      <abstractText>The relaxation of the probabilistic constraint of the fuzzy c-means clustering model was proposed to provide robust algorithms that are insensitive to strong noise and outlier data. These goals were achieved by the possibilistic c-means (PCM) algorithm, but these advantages came together with a sensitivity to cluster prototype initialization. According to the original recommendations, the probabilistic fuzzy c-means (FCM) algorithm should be applied to establish the cluster initialization and possibilistic penalty terms for PCM. However, when FCM fails to provide valid cluster prototypes due to the presence of noise, PCM has no chance to recover and produce a fine partition. This paper proposes a two-stage c-means clustering algorithm to tackle with most problems enumerated above. In the first stage called initialization, FCM with two modifications is performed: (1) extra cluster added for noisy data; (2) extra variable and constraint added to handle clusters of various diameters. In the second stage, a modified PCM algorithm is carried out, which also contains the cluster width tuning mechanism based on which it adaptively updates the possibilistic penalty terms. The proposed algorithm has less parameters than PCM when the number of clusters is c > 2. Numerical evaluation involving synthetic and standard test data sets proved the advantages of the proposed clustering model.</abstractText>
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&lt;div class=&quot;lastModified&quot;&gt;Last Modified: 2025.03.19. 08:59 Zsuzsa Tamássyné T. (OE admin)
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	&lt;pre class=&quot;comment&quot; style=&quot;margin-top: 0; margin-bottom: 0;&quot;&gt;&lt;u&gt;Comments&lt;/u&gt;: Export Date: 4 August 2021            
            CODEN: IJUSF            
            Funding details: Magyar Tudományos Akadémia, MTA            
            Funding text 1: This research was supported by the János Bolyai Research Fellowship program of the Hungarian Academy of Sciences.&lt;/pre&gt;

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            Dept. of Control Engineering and Information Technology, Budapest University of Technology and Economics, Hungary            
            Computational Intelligence Research Group, Dept. of Electrical Engineering, Sapientia University of Transylvania, Tîrgu Mureş, Romania            
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	&lt;pre class=&quot;comment&quot; style=&quot;margin-top: 0; margin-bottom: 0;&quot;&gt;&lt;u&gt;Comments&lt;/u&gt;: MTA-SZTE Research Group on Artificial Intelligence of the Hungarian Academy of Sciences and University of Szeged, Tisza Lajos krt. 103, Szeged, H-6720, Hungary            
            Dept. of Control Engineering and Information Technology, Budapest University of Technology and Economics, Hungary            
            Computational Intelligence Research Group, Dept. of Electrical Engineering,...&lt;/pre&gt;

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            Budapest University of Technology and Economics, Department of Control Engineering and Information Technology, H-1117 Budapest, Magyar tudósok krt. 2, Hungary            
            Petru Maior University, Department of Informatics, 540088 Tîrgu Mureş, Str. Nicolae Iorga Nr. 1, Romania            
            Export Date: 13 March 2025; Cited By: 31; Correspondence Address: S.M. Szilágyi; Petru Maior University, Department of Informatics, 540088 Tîrgu Mureş, Str. Nicolae Iorga Nr. 1, Romania; email: szsandor72@yahoo.com; CODEN: NRCGE</comment>
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&lt;div class=&quot;title&quot;&gt;&lt;a href=&quot;/gui2/?mode=browse&amp;params=publication;2698866&quot; target=&quot;_blank&quot;&gt;Generalization rules for the suppressed fuzzy c-means clustering algorithm&lt;/a&gt;&lt;/div&gt;    &lt;div&gt;		&lt;span class=&quot;journal-title&quot;&gt;NEUROCOMPUTING&lt;/span&gt;

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	pp 298-309
			
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	&lt;pre class=&quot;comment&quot; style=&quot;margin-top: 0; margin-bottom: 0;&quot;&gt;&lt;u&gt;Comments&lt;/u&gt;: Sapientia University of Transylvania, Faculty of Technical and Human Sciences, 540485 Tîrgu Mureş, Şoseaua Sighişoarei 1/C, Romania            
            Budapest University of Technology and Economics, Department of Control Engineering and Information Technology, H-1117 Budapest, Magyar tudósok krt. 2, Hungary            
            Petru Maior University, Department of Informatics, 540088 ...&lt;/pre&gt;

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      <label>Szilágyi László. Fuzzy-possibilistic product partition: A novel robust approach to c-means clustering. (2011) In: Modeling Decisions for Artificial Intelligence pp. 150-161</label><template>&lt;div class=&quot;BookChapter Publication short-list&quot;&gt; &lt;div class=&quot;authors&quot;&gt; &lt;span class=&quot;author-name&quot; mtid=&quot;10013789&quot;&gt; &lt;a href=&quot;/gui2/?type=authors&amp;mode=browse&amp;sel=10013789&quot; target=&quot;_blank&quot;&gt;Szilágyi, László&lt;/a&gt; &lt;/span&gt; &lt;span class=&quot;author-type&quot;&gt; &lt;/span&gt; &lt;/div &gt;&lt;div class=&quot;title&quot;&gt;&lt;a href=&quot;/gui2/?mode=browse&amp;params=publication;3344749&quot; mtid=&quot;3344749&quot; target=&quot;_blank&quot;&gt;Fuzzy-possibilistic product partition: A novel robust approach to c-means clustering&lt;/a&gt;&lt;/div&gt; &lt;div class=&quot;InBook&quot;&gt;In: Torra, V; Narakawa, Y; Yin, J; Long, J (eds.) &lt;span class=&quot;booktitle&quot;&gt;&lt;a href=&quot;/gui2/?mode=browse&amp;params=publication;3344748&quot; target=&quot;_blank&quot;&gt;Modeling Decisions for Artificial Intelligence &lt;/a&gt;&lt;/span &gt; &lt;/div&gt;&lt;div class=&quot;pub-info&quot;&gt; &lt;span class=&quot;publishedAt&quot;&gt;Heidelberg, Germany,&lt;/span&gt; &lt;span class=&quot;publishedAt&quot;&gt;Berlin, Germany : &lt;span class=&quot;publisher&quot;&gt;Springer Dordrecht&lt;/span&gt; &lt;span class=&quot;year&quot;&gt;(2011)&lt;/span&gt; &lt;span class=&quot;pageLength&quot;&gt;272 p.&lt;/span&gt; &lt;span class=&quot;page&quot;&gt; pp. 150-161. , 12 p. &lt;/span&gt; &lt;/div&gt; &lt;div class=&quot;pub-end&quot;&gt;&lt;div class=&quot;identifier-list&quot;&gt; &lt;span class=&quot;identifiers&quot;&gt; &lt;span class=&quot;id identifier oa_none&quot; title=&quot;none&quot;&gt; &lt;a style=&quot;color:blue&quot; title=&quot;10.1007/978-3-642-22589-5_15&quot; target=&quot;_blank&quot; href=&quot;https://doi.org/10.1007/978-3-642-22589-5_15&quot;&gt; DOI &lt;/a&gt; &lt;/span&gt; &lt;span class=&quot;id identifier oa_none&quot; title=&quot;none&quot;&gt; &lt;a style=&quot;color:blue&quot; title=&quot;79961157200&quot; target=&quot;_blank&quot; href=&quot;http://www.scopus.com/record/display.url?origin=inward&amp;eid=2-s2.0-79961157200&quot;&gt; Scopus &lt;/a&gt; &lt;/span&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&quot;short-pub-prop-list&quot;&gt; &lt;span class=&quot;short-pub-mtid&quot;&gt; Publication:3344749 &lt;/span&gt; &lt;span class=&quot;status-holder&quot;&gt;&lt;span class=&quot;status-data status-APPROVED&quot;&gt; Published &lt;/span&gt;&lt;/span&gt; &lt;span class=&quot;pub-core&quot;&gt;Core &lt;/span&gt; &lt;span class=&quot;pub-type&quot;&gt;Chapter in Book (Conference paper ) &lt;/span&gt; &lt;!-- &amp;&amp; !record.category.scientific --&gt; &lt;span class=&quot;pub-category&quot;&gt;Scientific&lt;/span&gt; &lt;div class=&quot;publication-citation&quot; style=&quot;margin-left: 0.5cm;&quot;&gt; &lt;span title=&quot;&quot; class=&quot;citingPub-count&quot;&gt;Citing papers: 29&lt;/span&gt; | Independent citation: 17 | Self citation: 12 | Unknown citation: 0 | Number of citations in WoS: 24 | Number of citations in Scopus:&amp;nbsp;27 | WoS/Scopus assigned:&amp;nbsp;29 | Number of citations with DOI:&amp;nbsp;29 &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt;</template><template2>&lt;div class=&quot;BookChapter Publication long-list&quot;&gt;
&lt;div class=&quot;authors&quot;&gt;
	&lt;img title=&quot;Forrásközlemény&quot; style=&quot;float: left&quot; src=&quot;/frontend/resources/grid/publication-core-icon.png&quot;&gt;
	

		&lt;div class=&quot;autype autype0&quot;&gt;				&lt;span class=&quot;author-name&quot; mtid=&quot;10013789&quot;&gt;&lt;a 
																				   href=&quot;/gui2/?type=authors&amp;mode=browse&amp;sel=10013789&quot; target=&quot;_blank&quot;&gt;Szilágyi László
            (&lt;span class=&quot;authorship-author-name&quot;&gt;Szilágyi László&lt;/span&gt;
            &lt;span class=&quot;authorAux-mtmt&quot;&gt; Villamosmérnöki tudományok&lt;/span&gt;)
			&lt;/a&gt;
    &lt;/span&gt;

				    &lt;/div&gt;
&lt;/div&gt;
&lt;div class=&quot;title&quot;&gt;&lt;a href=&quot;/gui2/?mode=browse&amp;params=publication;3344749&quot; target=&quot;_blank&quot;&gt;Fuzzy-possibilistic product partition: A novel robust approach to c-means clustering&lt;/a&gt;&lt;/div&gt;    &lt;div class=&quot;InBook&quot;&gt;&lt;div class=&quot;chapter-in&quot;&gt;In:&lt;/div&gt;         &lt;div class=&quot;authors&quot;&gt;

		&lt;div class=&quot;autype autype-1&quot;&gt;				&lt;span class=&quot;author-name&quot; &gt;Torra V
    &lt;/span&gt;
;&amp;nbsp;&amp;nbsp;&amp;nbsp;
							&lt;span class=&quot;author-name&quot; &gt;Narakawa Y
    &lt;/span&gt;
;&amp;nbsp;&amp;nbsp;&amp;nbsp;
							&lt;span class=&quot;author-name&quot; &gt;Yin J
    &lt;/span&gt;
;&amp;nbsp;&amp;nbsp;&amp;nbsp;
							&lt;span class=&quot;author-name&quot; &gt;Long J
    &lt;/span&gt;

			(eds.)	    &lt;/div&gt;
        &lt;/div&gt;
        &lt;div class=&quot;booktitle&quot;&gt;&lt;a href=&quot;/gui2/?mode=browse&amp;params=publication;3344748&quot; target=&quot;_blank&quot;&gt;Modeling Decisions for Artificial Intelligence &lt;/a&gt;&lt;/div&gt;
&lt;div class=&quot;conference&quot;&gt;
	
	Conference: 
    &lt;span class=&quot;location&quot;&gt;Changsha City, China
        &lt;span class=&quot;conference-date&quot;&gt;2011.07.28.
             - 
            2011.07.30.&lt;/span&gt;
    
&lt;/div&gt;         &lt;span class=&quot;editionNumber&quot;&gt;(1)&lt;/span&gt; 
         &lt;span class=&quot;publishedAt&quot;&gt;Heidelberg,&lt;/span&gt;  &lt;span class=&quot;publishedAt&quot;&gt;Berlin: 
            &lt;span class=&quot;publishers&quot;&gt;Springer Dordrecht&lt;/span&gt;,
&lt;span class=&quot;page&quot;&gt;
	pp 150-161
			
&lt;/span&gt;         &lt;span class=&quot;year&quot;&gt;(2011)&lt;/span&gt;  
                (
                    &lt;span class=&quot;seriesTitle&quot;&gt;Lecture Notes in Computer Science&lt;/span&gt;
                    &lt;span class=&quot;issn&quot;&gt;0302-9743&lt;/span&gt;
                    &lt;span class=&quot;issn&quot;&gt;1611-3349&lt;/span&gt;
                &lt;span class=&quot;seriesVolume&quot;&gt;; 6820&lt;/span&gt;)
    &lt;/div&gt;
&lt;div class=&quot;pub-footer&quot;&gt;

	&lt;span class=&quot;language&quot; xmlns=&quot;http://www.w3.org/1999/html&quot;&gt;Language:
			English
		 |  &lt;/span&gt;

	&lt;span class=&quot;identifiers&quot;&gt;
						&lt;span class=&quot;id identifier oa_none&quot; title=&quot;none&quot;&gt;
							
							&lt;a style=&quot;color:blue&quot; title=&quot;10.1007/978-3-642-22589-5_15&quot; target=&quot;_blank&quot; href=&quot;https://doi.org/10.1007/978-3-642-22589-5_15&quot;&gt;
									DOI
							&lt;/a&gt;
						&lt;/span&gt;
						&lt;span class=&quot;id identifier oa_none&quot; title=&quot;none&quot;&gt;
							
							&lt;a style=&quot;color:blue&quot; title=&quot;79961157200&quot; target=&quot;_blank&quot; href=&quot;http://www.scopus.com/record/display.url?origin=inward&amp;eid=2-s2.0-79961157200&quot;&gt;
									Scopus
							&lt;/a&gt;
						&lt;/span&gt;
	&lt;/span&gt;
&lt;span class=&quot;bookchapter-ids&quot;&gt;Book link(s):&lt;/span&gt; 	&lt;span class=&quot;identifiers&quot;&gt;
						&lt;span class=&quot;id identifier oa_none&quot; title=&quot;none&quot;&gt;
							
							&lt;a style=&quot;color:black&quot; title=&quot;10.1007/978-3-642-22589-5&quot; target=&quot;_blank&quot; href=&quot;https://doi.org/10.1007/978-3-642-22589-5&quot;&gt;
									DOI
							&lt;/a&gt;
						&lt;/span&gt;
						&lt;span class=&quot;id identifier oa_none&quot; title=&quot;none&quot;&gt;
							&lt;span class=&quot;isbnOrIssn&quot;&gt; ISBN: &lt;/span&gt;
							&lt;a style=&quot;color:black&quot; title=&quot;9783642225888&quot; target=&quot;_blank&quot; href=&quot;https://www.worldcat.org/search?q=isbn%3A9783642225888&quot;&gt;
									9783642225888
							&lt;/a&gt;
						&lt;/span&gt;
	&lt;/span&gt;




	&lt;div class=&quot;publication-citation&quot; style=&quot;margin-left: 0.5cm;&quot;&gt;
		&lt;span title=&quot;&quot; class=&quot;citingPub-count&quot;&gt;Citing papers: 29&lt;/span&gt;
		| Independent citation: 17
		| Self citation: 12
		| Unknown citation: 0
		| Number of citations in WoS: 24 
		|  Number of citations in Scopus:&amp;nbsp;27 
		|  WoS/Scopus assigned:&amp;nbsp;29 
		|  Number of citations with DOI:&amp;nbsp;29 
		
	&lt;/div&gt;
    



    &lt;div class=&quot;mtid&quot;&gt;&lt;span class=&quot;long-pub-mtid&quot;&gt;Publication: 3344749&lt;/span&gt;
    | &lt;span class=&quot;status-data status-APPROVED&quot;&gt; 	Published
  &lt;/span&gt;
        &lt;span class=&quot;long-book-mtid&quot;&gt;Book: 3344748&lt;/span&gt;
	&lt;span class=&quot;oldId&quot;&gt;Old id: 3344749&lt;/span&gt; | 
	&lt;span class=&quot;oldId&quot;&gt;Book: 3344748&lt;/span&gt;
Core	
	
	
    | &lt;span class=&quot;type-subtype&quot;&gt;Chapter in Book
			( Conference paper
			
			)
		&lt;/span&gt;
      		| &lt;span class=&quot;pub-category&quot;&gt;Scientific&lt;/span&gt;
	| &lt;span class=&quot;publication-sourceOfData&quot;&gt;kézi felvitel&lt;/span&gt;
&lt;/div&gt;


&lt;div class=&quot;lastModified&quot;&gt;Last Modified: 2025.03.19. 08:03 Zsuzsa Tamássyné T. (OE admin)
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	&lt;pre class=&quot;comment&quot; style=&quot;margin-top: 0; margin-bottom: 0;&quot;&gt;&lt;u&gt;Comments&lt;/u&gt;: Export Date: 13 March 2025; Cited By: 26; Correspondence Address: L. Szilágyi; Faculty of Technical and Human Science, Sapientia - Hungarian Science University of Transylvania, Tîrgu-Mureş, Romania; email: lalo@ms.sapientia.ro; Conference name: 8th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2011; Conference date: 28 July 2011 through 30 July 2011; Conferenc...&lt;/pre&gt;

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